Nuclear Shape Model

Legendre polynomials expand the nuclear surface equation in spherical harmonics, allowing the modeling of nuclear shapes and deformations by quantifying deviations from spherical symmetry in nuclear physics and structure studies. The plots below show the effect the \(\beta\) parameter has on the surface of our nucleus.

Nuclear Structure \(Y_{0}^{0}\) and \(Y_{1}^{0}\)

Higher Order Example \(Y_{0}^{0}\) and \(Y_{2}^{0}\)